Question

Scrie numerele 8x4 in baza 10 si 84y in baza 10. Determinati numerele naturale x si y pentru care 8x4 in baza 10 < 84y in baza 10.

Answer 1

Numarul scris in baza 10:

$\overline{abc}=100a+10b+c$

$\overline{8x4}=800+10x+4=804+10x$

$\overline{84y}=800+40+y=840+y$

804+10x<840+y |-804

10x<36+y

x, y cifre

y=0

10x<36

x={0,1,2,3}

y=1

10x<37

x={0,1,2,3}

y=2

10x<38

x={0,1,2,3}

y=3

10x<39

x={0,1,2,3}

y=4

10x<40

x={0,1,2,3}

y=5

10x<41

x={0,1,2,3,4}

La fel si pentru y=6,7,8 si 9

Un alt exercitiu gasesti aici: https://brainly.ro/tema/1773227

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